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Finding the Fourth Proportional to 726,581, 1,090,046.50 and 227,945

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Solution

The fourth proportional to 726,581, 1,090,046.50 and 227,945 is: 341,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,581 : 1,090,046.50 = 227,945 : x
  2. Step 2: Convert to fraction form
    726,581/1,090,046.50 = 227,945/x
  3. Step 3: Cross multiply
    726,581x = 1,090,046.50 × 227,945
  4. Step 4: Simplify right side
    726,581x = 248,470,649,442.50
  5. Step 5: Solve for x
    x = 248,470,649,442.50/726,581
  6. Step 6: Final answer
    x = 341,972.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.